The existence of extremal functions for discrete Sobolev inequalities on lattice graphs

DOI10.1016/j.jde.2021.10.016zbMath1487.46036arXiv2106.15982OpenAlexW3210552232MaRDI QIDQ2242544

Bobo Hua, Ruowei Li

Publication date: 9 November 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.15982

Mathematics Subject Classification ID

Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (6)

A class of semilinear elliptic equations on groups of polynomial growth ⋮ Existence and convergence of the least energy sign-changing solutions for nonlinear Kirchhoff equations on locally finite graphs ⋮ Semi-linear elliptic inequalities on weighted graphs ⋮ The ground state solutions to discrete nonlinear Choquard equations with Hardy weights ⋮ Blow-up conditions for a semilinear parabolic system on locally finite graphs ⋮ Existence of solutions for nonlinear biharmonic Choquard equations on weighted lattice graphs

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